Accession Number : ADA524705


Title :   A Universal Crease Pattern for Folding Orthogonal Shapes


Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE COMPUTER SCIENCE AND ARTIFICIAL INTELLIGENCE LAB


Personal Author(s) : Benbernou, Nadia M ; Demaine, Martin L ; Demaine, Erik D ; Ovadya, Aviv


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a524705.pdf


Report Date : 29 Sep 2009


Pagination or Media Count : 8


Abstract : We present a universal crease pattern--known in geometry as the tetrakis tiling and in origami as box pleating--that can fold into any object made up of unit cubes joined face-to-face (polycubes). More precisely, there is one universal finite crease pattern for each number n of unit cubes that need to be folded. This result contrasts previous universality results for origami, which require a different crease pattern for each target object, and confirms intuition in the origami community that box pleating is a powerful design technique.


Descriptors :   *FOLDING , SHAPE


Subject Categories : Theoretical Mathematics
      Cybernetics


Distribution Statement : APPROVED FOR PUBLIC RELEASE